Q19 / 54 · JEE Advanced 2016 (Paper 1) · Mathematics

A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this club including the selection of a captain (from among these 4 members) for the team. If the team has to include at most one boy, then the number of ways of selecting the team is

  • Correct answer
    A
    380
  • B
    320
  • C
    260
  • D
    95

Solution

There are 2 cases-

i. All the 4 are girls

ii. 3 girls and 1 boy

So the answer is 

6C4+6C3. 4C1. 4C1=380     (4C1= No. of ways of selecting captain)

Hence, the correct answer is option: 'A'.

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